Subgroups of even Artin groups of FC-type
Group Theory
2023-05-30 v1 Combinatorics
Abstract
We prove a Tits alternative theorem for subgroups of finitely generated even Artin groups of FC type (EAFC groups), stating that there exists a finite index subgroup such that every subgroup of it is either finitely generated abelian, or maps onto a non-abelian free group. Parabolic subgroups play a key role, and we show that parabolic subgroups of EAFC groups are closed under taking roots.
Cite
@article{arxiv.2305.17292,
title = {Subgroups of even Artin groups of FC-type},
author = {Yago Antolín and Islam Foniqi},
journal= {arXiv preprint arXiv:2305.17292},
year = {2023}
}